How do you convert -8.016 (16 being repeated) to a fraction?

Question

1627 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-19T04:21:49

$= -3968/495$

We first let -8.016 (16 being repeated) be $x$ .

Since $x$ is recurring in 2 decimal places, we multiply it by $10^2$ .

$100x = -801.616$

Next, we subtract them.

$100x - x = -801.616 - (-8.016)$

$99x = -793.6$

Lastly, we divide both sides by 99 to get $x$ as a fraction.

$x = -793.6/99$

$= -7936/990$

$= -3968/495$